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Comprehension

Direction: Study the given data carefully and answer the following question.

There are 3 cars A, B and C. They can travel some distance with different speed.

Car A: It travels some distance which is \(33\frac{1}{3}\% \) more than the distance travelled by Car B.

Car B: It travels at speed of 50 km/hr for \(7\frac{1}{2}\) hours.

Car C: It goes a distance of 400 km at 20% less speed than Car B.


1. 70 Km/hr
2. 65 Km/hr
3. 67.5 Km/hr
4.

62.5 Km/hr


5. 57.5 Km/hr

1 Answer

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Correct Answer - Option 4 :

62.5 Km/hr


Given:

Car A travels some distance which \(33\frac{1}{3}\% \) more than the distance travelled by Car B.

Car B travels at speed of 50 km/hr for \(7\frac{1}{2}\) hours.

Car C travels a distance of 400 km at 20% less speed than Car B.

The Car A takes 8 hours to travel the distance.

Concept Used:

Distance = Speed × Time 

Calculation:

Car B travels at speed of 50 km/hr for \(7\frac{1}{2}\) hours.

The distance travels by Car B = 50 × \(7\frac{1}{2}\)   

⇒ 50 × 15/2 = 25 × 15 = 375km

Car A travels some distance which \(33\frac{1}{3}\% \) more than the distance travelled by Car B.

The distance travels by Car A = (100 + \(33\frac{1}{3}\))/100 × 375 = 4/3 × 375 = 500

Car A takes 8 hours to travel the distance.

Then, the speed of Car A = 500/8 = 62.5 km/hr

∴ The speed of Car A is 62.5 km/hr.

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